This would involve a complicated interaction of heat transport.
It is widely used for simple engineering problems assuming there is equilibrium of the temperature fields and heat transport, with time.
Normally, heat transport in a star was incredibly slow.
In order to treat the vibrations of a system (critical for heat transport), one also assumes translational symmetry.
A weakening of this heat transport may have allowed the poles to cool enough to form ice under high CO conditions.
As a result, radiative heat transport is less effective.
A better understanding of the ocean currents and heat transport.
It makes some phenomena much more tractable and understandable, such as heat transport or superconductivity.
At high Rayleigh number the heat transport is large, in the sense that Nu > 1.
Since temperature inversions create stable, stratified conditions, the efficiency of that heat transport decreases.